Based on the visual graphical procedure of capacity spectrum method (CSM), a new method, called capacity-demand curves method (CDCM), is proposed for performance/displacement seismic design in this paper. The new method can be drawn from CSM but could avoid its disadvantages in difficult determination of demand point and larger error induced for long period system. Then the method is developed to determine the seismic performance/displacement including damage degree of structures and the corresponding probability under multiple earthquake hazard levels. All the procedures are presented in illustrative format which are easy to be understood and the values are easy to be determined. The demand curves, reflecting the relations of elastic and inelastic response, are based on the suggestion of R-μd relations in previous studies, and comparison of different models is discussed.